What is the Greatest Common Factor of 61054 and 61068?

Greatest common factor (GCF) of 61054 and 61068 is 14.

GCF(61054,61068) = 14

We will now calculate the prime factors of 61054 and 61068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61054 and 61068.

How to find the GCF of 61054 and 61068?

We will first find the prime factorization of 61054 and 61068. After we will calculate the factors of 61054 and 61068 and find the biggest common factor number .

Step-1: Prime Factorization of 61054

Prime factors of 61054 are 2, 7, 89. Prime factorization of 61054 in exponential form is:

61054 = 2¹ × 7³ × 89¹

Step-2: Prime Factorization of 61068

Prime factors of 61068 are 2, 3, 7, 727. Prime factorization of 61068 in exponential form is:

61068 = 2² × 3¹ × 7¹ × 727¹

Step-3: Factors of 61054

List of positive integer factors of 61054 that divides 61054 without a remainder.

1, 2, 7, 14, 49, 89, 98, 178, 343, 623, 686, 1246, 4361, 8722, 30527

Step-4: Factors of 61068

List of positive integer factors of 61068 that divides 61054 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 727, 1454, 2181, 2908, 4362, 5089, 8724, 10178, 15267, 20356, 30534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61054 and 61068. The biggest common factor number is the GCF number.
So the greatest common factor 61054 and 61068 is 14.

Also check out the Least Common Multiple of 61054 and 61068